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They really are a beautiful thing, it is unfortunate that most computer science majors don't get at least a basic introduction to signal processing as part of their standard curriculum. Especially because in my experience, the best way to understand a Fourier transform is to implement it in a program, feed in different signals, and wait for the light in your mind to go off.

Images and audio signals provide a particularly stunning insight.




They don't? At University of Sydney every engineering degree does 2 years of maths and that includes Fourier Series.


Nope, I only learned about it because my cousin went to the same school and was doing his electrical engineering graduate degree at the time. He had a book on signal processing lying around and that's where I was introduced to it.




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